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Finding the Fourth Proportional to 421,872.20, 632,623.66 and 126,315.08

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Solution

The fourth proportional to 421,872.20, 632,623.66 and 126,315.08 is: 189,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,872.20 : 632,623.66 = 126,315.08 : x
  2. Step 2: Convert to fraction form
    421,872.20/632,623.66 = 126,315.08/x
  3. Step 3: Cross multiply
    421,872.20x = 632,623.66 × 126,315.08
  4. Step 4: Simplify right side
    421,872.20x = 79,909,908,222.79
  5. Step 5: Solve for x
    x = 79,909,908,222.79/421,872.20
  6. Step 6: Final answer
    x = 189,417.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.